Theorems · Definition · ring theory
NonUnitalSubring.center
(R : Type u) → [inst : NonUnitalNonAssocRing R] → NonUnitalSubring R
The center of a ring R is the set of elements that commute with everything in R
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubsemiringproof · cited by 201
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubsemiring.centerproof · cited by 22
- Set.neg_mem_centerproof · cited by 0
Cited by15
Results whose statement or proof uses this declaration.
- NonUnitalSubring.centerCongrstatement · cited by 2
- NonUnitalSubring.centerToMulOppositestatement · cited by 2
- NonUnitalSubalgebra.center_toNonUnitalSubringstatement · cited by 0
- NonUnitalSubring.coe_centerstatement · cited by 0
- NonUnitalSubring.centerCongr_apply_coestatement · cited by 0
- NonUnitalSubring.centerCongr_symm_apply_coestatement · cited by 0
- NonUnitalSubring.centerToMulOpposite_apply_coestatement · cited by 0
- NonUnitalSubring.centerToMulOpposite_symm_apply_coestatement · cited by 0
- NonUnitalSubring.center_eq_topstatement and proof · cited by 0
- NonUnitalSubring.center_le_centralizerstatement · cited by 0
- NonUnitalSubring.center_prodstatement and proof · cited by 0
- NonUnitalSubring.center_toNonUnitalSubsemiringstatement · cited by 0